Quant test 12

Solve: log⁡232\log_2 32log232.

2 Mark(s)

4 4
5 5
6 6
2 2

If log⁡27=1.431\log 27=1.431log27=1.431, find log⁡9\log 9log9.

2 Mark(s)

0.954 0.954
0.9545 0.9545
1.954 1.954
0.431 0.431

If log⁡2x=5\log_2 x=5log2x=5, then x=?

2 Mark(s)

10 10
16 16
32 32
25 25

If log⁡2x=3\log_{2} x=3log2x=3, then find value of x.

2 Mark(s)

6 6
8 8
9 9
4 4

Simplify: log⁡aa\log_a alogaa.

2 Mark(s)

0 0
1 1
a a
undefined undefined

If log₁₀x=–1\log_{10} x = –1log₁₀x=–1, then x=?

2 Mark(s)

0.1 0.1
1 1
10 10
100 100

If log⁡5x=2\log_{5} x =2log5x=2, find x.

2 Mark(s)

10 10
25 25
5 5
2 2

Value of 641/664^{1/6}641/6.

2 Mark(s)

2 2
4 4
6 6
8 8

Value of log⁡ee5\log_e e⁵logee5.

2 Mark(s)

1 1
5 5
e e
none none

Value of log⁡√10100\log_{√10} 100log√10100.

2 Mark(s)

1 1
2 2
4 4
none none

Simplify: 707⁰70.

2 Mark(s)

1 1
0 0
7 7
undefined undefined

Simplify: log⁡(apbq)\log (a^p b^q)log(apbq).

2 Mark(s)

p log a – q log b p log a – q log b
p log a + q log b p log a + q log b
log a + log b log a + log b
none none

Solve: 100½100^{½}100½.

2 Mark(s)

5 5
10 10
100 100
50 50

If log⁡7=0.8451\log 7 = 0.8451log7=0.8451, then find log⁡70\log 70log70.

2 Mark(s)

1.8451 1.8451
2.8451 2.8451
0.1549 0.1549
0.8451 0.8451

Value of (2/3)–2 (2/3)^{–2}(2/3)–2.

2 Mark(s)

4/9 4/9
9/4 9/4
2/9 2/9
3/2 3/2

If log⁡2=0.3010\log 2 = 0.3010log2=0.3010, find log⁡8\log 8log8.

2 Mark(s)

0.9030 0.9030
0.6020 0.6020
1.2040 1.2040
0.3980 0.3980

Simplify: 16–½16^{–½}16–½.

2 Mark(s)

4 4
1/4 1/4
½ ½
–4 –4

If log⁡x81=4\log_x 81 = 4logx81=4, then x=?

2 Mark(s)

3 3
4 4
5 5
9 9

Value of ln⁡1\ln 1ln1.

2 Mark(s)

1 1
0 0
e e
undefined undefined

Simplify: log⁡a(am)\log_a (a^m)loga(am).

2 Mark(s)

a^m a^m
m m
a a
none none

Value of log⁡0\log 0log0.

2 Mark(s)

0 0
undefined undefined
1 1
∞ ∞

Simplify: log⁡amlog⁡an\frac{\log a^m}{\log a^n}loganlogam.

2 Mark(s)

m/n m/n
n/m n/m
log m/log n log m/log n
none none

Simplify: log⁡a(1/x)\log_{a} (1/x)loga(1/x).

2 Mark(s)

log a – log x log a – log x
–log_a x –log_a x
1/x 1/x
log a/x log a/x

Value of 12–3\frac{1}{2^{–3}}2–31.

2 Mark(s)

8 8
1/8 1/8
4 4
2 2

Simplify: am/ana^m / a^nam/an.

2 Mark(s)

a^(m+n) a^(m+n)
a^(m–n) a^(m–n)
a^(n–m) a^(n–m)
none none

Quant test 12 : Question 1 of 25